Abstract
It is essential to investigate the influence of blasting vibrations on pipelines, and the dynamic response is the crux in the safety issues. At present, the blasting seismic wave is usually regarded as a plane wave. However, there is little research about the dynamic response characteristics of underground structures subjected to nonplane waves. The analytical solution to dynamic stress concentration factor (DSCF) of pipelines subjected to cylindrical SH wave was derived. Besides, the randomness of the shear modulus of soil was considered, and the statistical analysis of DSCF was carried out by the Monte Carlo simulation method. Results show that the variability of the shear modulus of soil has a significant influence on the probability distribution of DSCF. The larger the variation coefficient of the shear modulus is, the more obvious the skewness of DSCF is. The influence of low-frequency wave on pipeline increases with the reducing normalized distance r∗, while the influence of high-frequency wave reduces and the variation amplitude of DSCF increases. Compared with the DSCF of pipe subjected to a plane wave, a lower dominant frequency or larger normalized distance for the cylindrical SH wave will generate a more similar statistical characteristic of DSCF.
Highlights
With the rapid development of transportation construction, the drilling and blasting method has been widely used in the excavation of underground space due to its efficiency and economy
Lee and Trifunac [2,3,4] studied the dynamic response of tunnels and cavities induced by plane P, SH, and SV waves. ambirajah et al [5] considered the effect of dynamic stress concentration factors (DSCFs) and studied the scattering of SH waves by two caverns
Convergence Analysis. e Monte Carlo simulation method is employed to obtain the statistical results of the DSCF
Summary
With the rapid development of transportation construction, the drilling and blasting method has been widely used in the excavation of underground space due to its efficiency and economy. Wang et al [7] used the wave function expansion method to give an analytical solution to the dynamic response of a deep-buried soft rock circular tunnel under the incident plane SH wave. Liu et al [10] used the complex functions and multilevel coordinate method to analyze the influence of P wave on pipelines in saturated soil He et al [11] studied the scattering of plane SH waves by underground caverns with arbitrary cross-sectional shapes. Some research studies about cylindrical waves have been carried out, the random dynamic response of underground structures under cylindrical waves is still rare in literature [24,25,26] At present, He and Liang [27] used the Monte Carlo simulation method to study the influence of the shape variability of the outer wall on the peak value of DSCF around the inner wall. Due to the effects of multiple factors, such as sedimentation, weathering, chemical action, transportation processes, and different loading history, the physical and mechanical properties of rock and soil vary spatially. erefore, it is more suitable to study the DSCF of pipelines under cylindrical SH waves when the shear modulus of soil is considered as random parameter
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